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Simultaneous Diophantine approximation on the circle and Hausdorff dimension

Dickinson, D. and Dodson, D.D. (2001) Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Mathematical Proceedings of the Cambridge Philosophical Society, 130 (3). pp. 515-522. ISSN 1469-8064

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Abstract

The functional relations between the coordinates of points on a manifold make the study of Diophantine approximation on manifolds much harder than the classical theory in which the variables are independent. Nevertheless there has been considerable progress in the metric theory of Diophantine approximation on smooth manifolds. To describe this, some notation and terminology are needed.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 27 Mar 2009 10:00
Last Modified: 27 Mar 2009 10:00
Published Version: http://dx.doi.org/10.1017/S0305004101004984
Status: Published
Publisher: Cambridge University Press
Identification Number: 10.1017/S0305004101004984
URI: http://eprints.whiterose.ac.uk/id/eprint/6993

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